URegina Topology Seminar: Carlos Gabriel Valenzuela

In general Topological Quantum Field Theories are very diverse, but we may focus on low dimensional cases. As a starting point, we'll give a complete classification of 1-dimensional TQFTs.

To this end, I'll present a review of dualization in a symmetric monoidal category, discuss a few examples focusing on the category of vector spaces, and finally present a proof for the equivalence of 1-dimensional TQFTs and finite dimensional vector spaces.